When keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. in the diagram below, she used x to represent the length, in feet, of the gate.

A) 10

Step-by-step explanation:

Given:

Perimeter of rectangular backyard = 200 ft.

Width = 30 ft

Length =

We need to find the value of x.

Now we know that perimeter of rectangle is equal to twice the sum of its length and width.

Framing in equation form we get;

Perimeter of Rectangle =

Substituting the given values we get;

Using Addition Property we get;

Using Distributive property we get;

Now Using Subtraction property we will subtract 1800 on both side we get;

Now we will use division property and divide both side by 2 we get;

Hence The value of x is 10 ft.

The cost of one burger is $2.95

The cost of one fry is $1.45

Step-by-step explanation:

Let

x----> the cost of one burger

y---> the cost of one fry

we know that

----> equation A

----> equation B

Using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (2.95,1.45)

see the attached figure

therefore

The cost of one burger is $2.95

The cost of one fry is $1.45